What is the Least Common Multiple of 57584 and 57601?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 57584 and 57601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57584 and 57601, than apply into the LCM equation.

GCF(57584,57601) = 1
LCM(57584,57601) = ( 57584 × 57601) / 1
LCM(57584,57601) = 3316895984 / 1
LCM(57584,57601) = 3316895984

Least Common Multiple (LCM) of 57584 and 57601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57584 and 57601. First we will calculate the prime factors of 57584 and 57601.

Prime Factorization of 57584

Prime Factorization of 57601

Now multiplying the highest exponent prime factors to calculate the LCM of 57584 and 57601.

LCM(57584,57601) = 2⁴ × 59¹ × 61¹ × 57601¹
LCM(57584,57601) = 3316895984